Biharmonic Green domains in a Riemannian manifold
Sadoon Ibrahim Othman; Victor Anandam
Commentationes Mathematicae Universitatis Carolinae (2003)
- Volume: 44, Issue: 2, page 359-365
- ISSN: 0010-2628
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topOthman, Sadoon Ibrahim, and Anandam, Victor. "Biharmonic Green domains in a Riemannian manifold." Commentationes Mathematicae Universitatis Carolinae 44.2 (2003): 359-365. <http://eudml.org/doc/249168>.
@article{Othman2003,
abstract = {Let $R$ be a Riemannian manifold without a biharmonic Green function defined on it and $\Omega $ a domain in $R$. A necessary and sufficient condition is given for the existence of a biharmonic Green function on $\Omega $.},
author = {Othman, Sadoon Ibrahim, Anandam, Victor},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {biharmonic Green functions},
language = {eng},
number = {2},
pages = {359-365},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Biharmonic Green domains in a Riemannian manifold},
url = {http://eudml.org/doc/249168},
volume = {44},
year = {2003},
}
TY - JOUR
AU - Othman, Sadoon Ibrahim
AU - Anandam, Victor
TI - Biharmonic Green domains in a Riemannian manifold
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 2
SP - 359
EP - 365
AB - Let $R$ be a Riemannian manifold without a biharmonic Green function defined on it and $\Omega $ a domain in $R$. A necessary and sufficient condition is given for the existence of a biharmonic Green function on $\Omega $.
LA - eng
KW - biharmonic Green functions
UR - http://eudml.org/doc/249168
ER -
References
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- Sario L., Nakai M., Wang C., Chung L.O., Classification theory of Riemannian manifolds, Lecture Notes in Math. 605, Springer-Verlag, 1977. Zbl0355.31001MR0508005
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